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anonymous
 one year ago
Help!
anonymous
 one year ago
Help!

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well an easy method is to graph the curve... and look where a tangent to the curve would have a negative slope

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0the other is to use calculus to sketch the curve

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1You are looking for where f'(x) < 0 Take the first derivative and see where this occurs

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Here is f'(x) $$ f'(x)=(x6) (x2) $$ When is this negative?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1BETWEEN 6 and 2, right? dw:1436130851705:dw

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1$$ 2\lt x\lt 6 $$ Note that it does NOT include x=6 and x=2, because at these points f'(x)=0 (i.e. they are min and max respectively and not changin)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would be (2,6) only?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Yes! At all the other points, slope is positive or zero. Remember that slope is what f'(x) means: dw:1436131100676:dw

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1I've been forgetting to put my " ' " in my picture for f'(x) (derivative)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright thank you so much!!
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